6x^2-4xy-15xy+10y^2 factor by grouping

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Answer 1

Answer: 4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)

Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)

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A survey found that 3 out of 7 people in a community job on a regular basis. If there are 3150 people in the community, What is the reasonable prediction for the number of people who would jog regularly?

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The requried reasonable prediction for the number of people who would jog regularly in the community is 1350.

What is proportionality?

Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.

If 3 out of 7 people jog on a regular basis, then the fraction of people in the community who jog on a regular basis is:

3/7

To predict the number of people who would jog regularly in the community, we can multiply this fraction by the total number of people in the community:

(3/7) * 3150 = 1350

Therefore, a reasonable prediction for the number of people who would jog regularly in the community is 1350.

Learn more about proportionality here: brainly.com/question/22620356

#SPJ3

so 3150÷7=450 and then multiply 450×3= 1350. So 1350 people who jog regularly

HELP MEEEE PLEASE ;C

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i think the answer is y=3x

I got y= 3x because from the origin you go up three and over one, and the y- intercept in 0 so I don’t think you put anything there

X – y ≥ -4.
2x – y ≤ 5.
2y + x > 1

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I took a picture of the work instead ^^

WILL MARK BRAINLIEST!The area of a rectangle is equal to its length times its width. If the area of a rectangle is 14x + 42 square feet, which option(s) could be the length and width of that rectangle? Select all that apply

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Answer:

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Step-by-step explanation:

65 sorry if I am wrong

Thanks For helping me answer my question

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Answer:

your welcome

Step-by-step explanation:

have a good day

in the following year, the value of imports to Greece decreased by 25%. If the value of Italian imports decreased by $750 million, what percentage of the following year's imports were from Italy?

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answer is 14.4% ( solution attached below)

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